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Finding the Third Proportional to 11,271 and 21,132

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Solution

The third proportional to 11,271 and 21,132 is: 39,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271 : 21,132 = 21,132 : x
  2. Step 2: Convert to fraction form
    11,271/21,132 = 21,132/x
  3. Step 3: Cross multiply
    11,271x = 21,132 × 21,132
  4. Step 4: Simplify right side
    11,271x = 446,561,424
  5. Step 5: Solve for x
    x = 446,561,424/11,271
  6. Step 6: Final answer
    x = 39,620.39

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.